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Finding the Fourth Proportional to 76,242.40, 105,213.24 and 41,786.80

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Solution

The fourth proportional to 76,242.40, 105,213.24 and 41,786.80 is: 57,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,242.40 : 105,213.24 = 41,786.80 : x
  2. Step 2: Convert to fraction form
    76,242.40/105,213.24 = 41,786.80/x
  3. Step 3: Cross multiply
    76,242.40x = 105,213.24 × 41,786.80
  4. Step 4: Simplify right side
    76,242.40x = 4,396,524,617.23
  5. Step 5: Solve for x
    x = 4,396,524,617.23/76,242.40
  6. Step 6: Final answer
    x = 57,665.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.